Nadler’s Theorem on Incomplete Modular Space

Abstract

This manuscript is focused on the role of convexity of the modular, and some fixed point results for contractive correspondence and single-valued mappings are presented. Further, we prove Nadler’s Theorem and some fixed point results on orthogonal modular spaces. We present an application to a particular form of integral inclusion to support our proposed version of Nadler’s theorem.

Keywords

• fixed points
• incomplete modular space
• Nadler’s fixed point theorem
• integral inclusion